Home / 2,547.39-3,823.04-1,142.24

Finding the Fourth Proportional to 2,547.39, 3,823.04 and 1,142.24

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Solution

The fourth proportional to 2,547.39, 3,823.04 and 1,142.24 is: 1,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.39 : 3,823.04 = 1,142.24 : x
  2. Step 2: Convert to fraction form
    2,547.39/3,823.04 = 1,142.24/x
  3. Step 3: Cross multiply
    2,547.39x = 3,823.04 × 1,142.24
  4. Step 4: Simplify right side
    2,547.39x = 4,366,829.21
  5. Step 5: Solve for x
    x = 4,366,829.21/2,547.39
  6. Step 6: Final answer
    x = 1,714.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.